Question

Explain rate of reaction with its mathematical forms.
Rate (Velocity) of reaction:

Answer 1

It is the ratio of change in concentration to a unit interval of time.
Mathematically: Let us consider a general reaction, A (reactant) $\to$ B (products)
Now rate (velocity) of reaction $=\mp \frac{d\left[A\right]}{dt}=\frac{+d\left[B\right]}{dt}=\frac{\pm dc}{dt}$
Where $dc=$ change in concentration : $dt=$ change in time.
-ve sign = forward reaction where the concentration of reactant decreases.
+ve sign = backward reaction where the concentration of reactant increases.
Meaning of [A]= - concentration of reaction A
[B]= - concentration of Product B.